Question

the table below shows the results of a survey that asked 1078 adults from a certain country if they favored or opposed a tax to fund education. a person is selected at random. complete parts (a) through (c).

\

$$\begin{tabular}{rcccc} & support & oppose & unsure & total \\\\ males & 171 & 321 & 13 & 505 \\\\ females & 245 & 308 & 20 & 573 \\\\ total & 416 & 629 & 33 & 1078 \\end{tabular}$$

(a) find the probability that the person opposed the tax or is female.
\\(p(\text{opposed the tax or is female}) = 0.829\\)
(round to the nearest thousandth as needed.)

(b) find the probability that the person supports the tax or is male.
\\(p(\text{supports the tax or is male}) = 0.696\\)
(round to the nearest thousandth as needed.)

(c) find the probability that the person is not unsure or is female.
\\(p(\text{is not unsure or is female}) = \\)
(round to the nearest thousandth as needed.)

Explanation:

Identify the given values and target

Using the Two-Way Contingency Table Probability knowledge point

$$
LATEXBLOCK0
$$

We need to find \(P(\text{not unsure or is female})\).

Apply the addition rule for probability

Using the Addition Rule for Probability knowledge point

$$
LATEXBLOCK1
$$

Calculate individual probabilities

Using the Two-Way Contingency Table Probability knowledge point

$$
LATEXBLOCK2
$$

Compute the final probability

Using the Addition Rule for Probability knowledge point

$$
LATEXBLOCK3
$$

Rounding to the nearest thousandth gives \(0.988\).

Answer:

(c) Find the probability that the person is not unsure or is female.

P(is not unsure or is female) = <blank>0.988</blank>
(Round to the nearest thousandth as needed.)